What is the Greatest Common Factor of 42465 and 42483?

Greatest common factor (GCF) of 42465 and 42483 is 3.

GCF(42465,42483) = 3

We will now calculate the prime factors of 42465 and 42483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42465 and 42483.

How to find the GCF of 42465 and 42483?

We will first find the prime factorization of 42465 and 42483. After we will calculate the factors of 42465 and 42483 and find the biggest common factor number .

Step-1: Prime Factorization of 42465

Prime factors of 42465 are 3, 5, 19, 149. Prime factorization of 42465 in exponential form is:

42465 = 3¹ × 5¹ × 19¹ × 149¹

Step-2: Prime Factorization of 42483

Prime factors of 42483 are 3, 7, 17. Prime factorization of 42483 in exponential form is:

42483 = 3¹ × 7² × 17²

Step-3: Factors of 42465

List of positive integer factors of 42465 that divides 42465 without a remainder.

1, 3, 5, 15, 19, 57, 95, 149, 285, 447, 745, 2235, 2831, 8493, 14155

Step-4: Factors of 42483

List of positive integer factors of 42483 that divides 42465 without a remainder.

1, 3, 7, 17, 21, 49, 51, 119, 147, 289, 357, 833, 867, 2023, 2499, 6069, 14161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42465 and 42483. The biggest common factor number is the GCF number.
So the greatest common factor 42465 and 42483 is 3.

Also check out the Least Common Multiple of 42465 and 42483